This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 13 Surface Areas And Volumes – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 1 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the relationship between the surface area and volume of similar solids? A) The surface area is always greater than the volume for similar solids. B) The surface area ratio is the cube of the linear ratio, and the volume ratio is the square of the linear ratio. C) The surface area ratio is the square of the linear ratio, and the volume ratio is the cube of the linear ratio. D) The surface area and volume ratios are equal. Show Answer Correct Answer: C) The surface area ratio is the square of the linear ratio, and the volume ratio is the cube of the linear ratio. 2. If the volume of a cube is 125 cm$^{3}$, find its edge A) 25 cm. B) 5 cm. C) 15 cm. D) None of the above. Show Answer Correct Answer: B) 5 cm. 3. A cube is measured at 4 cm in length, what is the surface area? A) 96 cm$^{2}$. B) 16 cm$^{2}$. C) 64 cm$^{2}$. D) None of the above. Show Answer Correct Answer: A) 96 cm$^{2}$. 4. The radius and height of a solid right circular cone are in the ratio of 5:12. If its volume is 314 cubic cm, its total surface area will be A) 282.6 sq cm. B) 280 sq cm. C) 182 sq cm. D) 180 sq cm. Show Answer Correct Answer: A) 282.6 sq cm. 5. If two congruent hemispheres are joined to form a sphere then surface area of resultant figure A) Increases. B) Decreases. C) Remain same. D) We can't say. Show Answer Correct Answer: B) Decreases. 6. The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is(a) 1:2(b) 3:1(c) 4:1(d) 1:8 A) A. B) B. C) C. D) D. Show Answer Correct Answer: C) C. 7. Jack and Jill each roll a sheet of 9 x 12 paper to form a cylinder. Jack tapes the two 9 inch edges together.Jill tapes the two 12 inch edges together.Whose cylinder has a greater volume? A) Jack. B) Jill. C) Both have the same volume. D) Not enough information. Show Answer Correct Answer: A) Jack. 8. Curved Surface Area of a Cube is A) $6a^2$. B) $4a^2$. C) $a^3$. D) $6a^3$. Show Answer Correct Answer: B) $4a^2$. 9. If we change the shape of an object from a sphere to a cylinder, then the volume of cylinder will A) Increase. B) Decrease. C) Remains unchanged. D) Doubles. Show Answer Correct Answer: C) Remains unchanged. 10. The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of the balloon in two cases is: A) 3:8. B) 2:6. C) 8:27. D) 4:9. Show Answer Correct Answer: D) 4:9. 11. For a sphere of radius r, curved surface area of the hemisphere A) $2\pi r^2$. B) $3\pi r^2$. C) $4\pi r^2$. D) $\pi r^2$. Show Answer Correct Answer: A) $2\pi r^2$. 12. A cylindrical rod of iron, whose height is 4 times its radius, is melted and cast into spherical balls of the same radius. The number of balls cast is: A) 2. B) 3. C) 4. D) 5. Show Answer Correct Answer: B) 3. 13. A beam 9m long, 40cm wide and 20cm deep is made up of iron which weighs 50kg per cubic metre. The weight of the beam is A) 27kg. B) 36kg. C) 48kg. D) 56kg. Show Answer Correct Answer: B) 36kg. 14. What is the Volume of a Cylinder? A) $\pi r^2h$. B) $2\pi rh$. C) $2\pi r\left(h+r\right)$. D) $\pi r\left(h+r\right)$. Show Answer Correct Answer: A) $\pi r^2h$. 15. The height of a cone is 8 cm and the area of its base is 156 sq. cm. What is its volume? A) 312 cubic cm. B) 334 cubic cm. C) 416 cubic cm. D) 468 cubic cm. Show Answer Correct Answer: C) 416 cubic cm. 16. How do you know which is the base of your prism? A) The two faces that are equal and connected. B) Any face can be the base. C) The rectangular sides. D) There is no way to tell. Show Answer Correct Answer: B) Any face can be the base. 17. The volume of a sphere is given by A) $\frac{2}{3}\pi r^3$. B) $\frac{4}{3}\pi r^3$. C) $2\pi r^2$. D) $4\pi r^2$. Show Answer Correct Answer: B) $\frac{4}{3}\pi r^3$. 18. A solid right circular cone of height 84 cm and radius of base 21 cm is melted and recast into a solid sphere. What is the diameter of the sphere? A) 21 cm. B) 32 cm. C) 42 cm. D) 48 cm. Show Answer Correct Answer: C) 42 cm. 19. A right circular cylinder has base radius 14cm and height 12cm. Find the csa of cylinder A) 1050cm$^{2}$. B) 1056cm$^{2}$. C) 1005cm$^{2}$. D) 1065cm$^{2}$. Show Answer Correct Answer: B) 1056cm$^{2}$. 20. The volume of the largest right circular cone that can be carved out from a cube of edge 4.2 cm is A) 9.7 cu. cm. B) 77.6 cu. cm. C) 58.2 cu. cm. D) 19.4 cu. cm. Show Answer Correct Answer: D) 19.4 cu. cm. 21. Which of the following is NOT a version of Euler's Formula? A) F + V = E + 2. B) F + V-E = 2. C) E = F + V-2. D) F + E = V + 2. Show Answer Correct Answer: D) F + E = V + 2. 22. If the radius of a sphere is doubled, then it volume will become how many times of its original volume A) Two. B) Three. C) Six. D) Eight. Show Answer Correct Answer: D) Eight. 23. The Total Surface Area of a cuboid is given by A) $lbh$. B) $2\left(lh+bh\right)$. C) $2\left(lb+lh+bh\right)$. D) $2\left(l+b\right)$. Show Answer Correct Answer: C) $2\left(lb+lh+bh\right)$. 24. (a+b)$^{2}$ A) $a^2+2ab-b^2$. B) $a^2-2ab+b^2$. C) (a+b)(a-b). D) $a^2+2ab+b^2$. Show Answer Correct Answer: D) $a^2+2ab+b^2$. 25. A cube has a length of 3 inches. Find the volume. A) 9 inches$^{3}$. B) 12 inches$^{3}$. C) 27 inches$^{3}$. D) 18 inches$^{3}$. Show Answer Correct Answer: C) 27 inches$^{3}$. 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